3x-1=10x-78

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Solution for 3x-1=10x-78 equation:


Simplifying
3x + -1 = 10x + -78

Reorder the terms:
-1 + 3x = 10x + -78

Reorder the terms:
-1 + 3x = -78 + 10x

Solving
-1 + 3x = -78 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
-1 + 3x + -10x = -78 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-1 + -7x = -78 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -7x = -78 + 0
-1 + -7x = -78

Add '1' to each side of the equation.
-1 + 1 + -7x = -78 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -78 + 1
-7x = -78 + 1

Combine like terms: -78 + 1 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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